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Paper data
A new way to invert the sliding Fourier transform and its application to signal separation

Dapena Adriana, Universidad de A Coruņa, A Coruņa, Spain
Serviere Christine, LIS-ENSIEG, Grenoble, France

Page numbers in the proceedings:
Volume II pp 623-626

Filter Design / Fast Algorithms

Paper abstract
In this paper we propose a simple method to invert the Fourier transform computed using zero-padding and sliding windows with delay of one point. Supposing that the window size is less than the number of frequencies, we show that the time-domain signal can be recovered multiplying the frequency-domain signal by a $2 imes 2$ matrix. Using this result, we propose a criterion to separate convolutive mixtures of signals in the frequency domain. The proposed approach has a reduced computational cost because only two frequency bins are considered.

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